Which equation has the solutions x is equal to the fraction with numerator 5 plus or minus 2 square root of 7 and denominator 3 ?

For the roots (5 ± 2√7)/3, their sum is 10/3 and their product is (25 − 28)/9 = −1/3. A quadratic with those roots is x² − (10/3)x − 1/3 = 0; multiplying by 3 gives 3x² − 10x − 1 = 0, which is choice A.

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